Home / 1,461.42-2,191.80-421.19

Finding the Fourth Proportional to 1,461.42, 2,191.80 and 421.19

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Solution

The fourth proportional to 1,461.42, 2,191.80 and 421.19 is: 631.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461.42 : 2,191.80 = 421.19 : x
  2. Step 2: Convert to fraction form
    1,461.42/2,191.80 = 421.19/x
  3. Step 3: Cross multiply
    1,461.42x = 2,191.80 × 421.19
  4. Step 4: Simplify right side
    1,461.42x = 923,164.24
  5. Step 5: Solve for x
    x = 923,164.24/1,461.42
  6. Step 6: Final answer
    x = 631.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.